What’s the lowest common multiple of 120 and 75

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?